Question Consider maximising 6- x² - 4y2 + 2xy where where x ≥ 16. What y-value solves this maximisation problem? Your Answer: Question In the problem, the inequality constraint holds with strict inequality. True False Question Now replace the inequality constraint with the new one that y ≤ 18. What is the value of the Lagrange multiplier in the case where we assume the constraint holds with strict equality? Your Answer: Question In the previous maximisation, which cases have valid critical points? The constraint holds with strict equality. The constraint holds with strict inequality.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
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Consider maximising 6 - x² - 4y² + 2xy where where x ≥ 16. What y-value solves this
maximisation problem?
Your Answer:
Question
In the problem, the inequality constraint holds with strict inequality.
True
False
Question
Now replace the inequality constraint with the new one that y ≤ 18. What is the
value of the Lagrange multiplier in the case where we assume the constraint holds
with strict equality?
Your Answer:
Question
In the previous maximisation, which cases have valid critical points?
The constraint holds with strict equality.
The constraint holds with strict inequality.
Transcribed Image Text:Question Consider maximising 6 - x² - 4y² + 2xy where where x ≥ 16. What y-value solves this maximisation problem? Your Answer: Question In the problem, the inequality constraint holds with strict inequality. True False Question Now replace the inequality constraint with the new one that y ≤ 18. What is the value of the Lagrange multiplier in the case where we assume the constraint holds with strict equality? Your Answer: Question In the previous maximisation, which cases have valid critical points? The constraint holds with strict equality. The constraint holds with strict inequality.
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